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Fuzzy natural transform method for solving fuzzy differential equations
This article establishes a new transform method to seek the solution to some fuzzy differential equations. For the first time in the literature, the...
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Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations
Conformable derivatives have deep connections with fractals and local fractional calculus. This paper presents a generalized concept of higher-order...
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Ulam–Hyers Stability of Fuzzy Fractional Non-instantaneous Impulsive Switched Differential Equations Under Generalized Hukuhara Differentiability
This paper is devoted to studying a class of fuzzy fractional switched implicit differential equations (FFSIDEs) with non-instantaneous impulses that...
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Solutions of non-homogeneous system of fuzzy fractional differential equations: a novel approach
In this research, a novel approach is applied to obtain the solution for the non-homogeneous system of fuzzy fractional differential equations. The...
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On Intuitionistic Fuzzy Sumudu Transform for Intuitionistic Fuzzy Differential Equations
In this paper, we introduce a result for the intuitionistic fuzzy Sumudu transform. The related theorems and properties are proved in detail and we...
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Solving Pythagorean fuzzy fractional differential equations using Laplace transform
In this research article, we discuss an important class of modern differential equations in the Pythagorean fuzzy environment, called the Pythagorean...
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Analysis of incommensurate multi-order fuzzy fractional differential equations under strongly generalized fuzzy Caputo’s differentiability
Analytical studies of fuzzy fractional differential equations (FFDEs) of two different independent fractional orders are often complex and difficult....
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Analytical solution of the Atangana–Baleanu–Caputo fractional differential equations using Pythagorean fuzzy sets
Every real-world physical phenomena is inherently based on uncertainty and vagueness. There is a frequent need of a useful tool that can handle the...
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Fuzzy differential equations: conceptual interpretations
This paper aims to shed light on some of the conceptual interpretations that might be extracted from either the information conveyed by fuzzy...
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Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations
We present an efficient numerical method to approximate the solution of a system of fractional-order linear semi-explicit differential-algebraic...
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Existence and Uniqueness Results of Fuzzy Fractional Stochastic Differential Equations with Impulsive
In this paper, we study the existence and uniqueness of solution for a new kind of equations, namely fuzzy fractional stochastic differential...
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Finite-difference method for fuzzy singular integro-differential equation deriving from fuzzy non-linear differential equation
In this article, first time, a well-known equation, which can be used to analyze the behavior of the bubble formulation in the mixture of gas and...
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Advances in Fuzzy Integral and Differential Equations
As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations...
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Interval Type-3 Fuzzy Differential Evolution for Parameterization of Fuzzy Controllers
Fuzzy logic has been successfully utilized in a plethora of disciplines, and this article is presenting, for the first time, the utilization of...
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Necessary and sufficient condition for the existence of solutions to two-point boundary value problem of fuzzy linear multi-term fractional differential equations
To solve problems such as nonexistence of solutions to two-point boundary value problem of fuzzy linear multi-term fractional differential equations...
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A Lagrange spectral collocation method for weakly singular fuzzy fractional Volterra integro-differential equations
A linear fractional-order weakly singular fuzzy Volterra integro-differential equation has been examined. In this case, the Caputo fractional-order...
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Fuzzy Relational Equations and Universal Approximation
This chapter presents the concepts of fuzzy relationships and fuzzy relational equations. These are applied to medical diagnosis and Bayesian...
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Notes on the Existence Results for Nonlinear Fractional Differential Equations with Fuzzy Boundary Conditions
In this paper, we establish a new result concerning the existence and uniqueness of solutions for nonlinear fractional differential equations with...
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Numerical Solution for Fuzzy Partial Differential Equations with Interactive Fuzzy Boundary Conditions
This paper presents a numerical method to solve fuzzy partial differential equations, where the initial and boundary conditions are given by...
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A System Coupled of Nonlinear Impulsive Differential Equations
In this paper, we discuss the existence and uniqueness of solutions for the new system of nonlinear mixed type impulsive fuzzy differential equation...